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Sup-norm estimates for $ \overline{\partial}$ in $\mathbb{C}^{3}$
Multi angle
Authors : Stensønes, Berit (Author of the conference)
CIRM (Publisher )
32A26 - Integral representations - Constructed kernels
32F18 - Finite-type conditions
32T25 - Finite type domains
CIRM (Publisher )
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Abstract :
I will talk about recent joint work with Dusty Grundmeier and Lars Simon. We have proved sup-norm estimates for dbar on a wide class of pseudoconvex domains in $\mathbb{C}^{3}$, including all known examples of bounded, pseudoconvex domains with real-analytic boundary of finite D'Angelo type.
Keywords : finite type domains; $ \overline{\partial}$-equation; supnorm estimates
MSC Codes : Keywords : finite type domains; $ \overline{\partial}$-equation; supnorm estimates
32A26 - Integral representations - Constructed kernels
32F18 - Finite-type conditions
32T25 - Finite type domains
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/02/2020 Conference Date : 27/01/2020 Subseries : Research talks arXiv category : Complex Variables Mathematical Area(s) : Numerical Analysis & Scientific Computing ; PDE Format : MP4 (.mp4) - HD Video Time : 00:50:18 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2020-01-27_Stensones.mp4 
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Information on the Event
Event Title : Complex Dynamics / Dynamique complexeEvent Organizers : Berteloot, François ; Nguyên, Viêt Anh Dates : 27/01/2020 - 31/01/2020 Event Year : 2020 Event URL : https://conferences.cirm-math.fr/2148.html
Citation Data
DOI : 10.24350/CIRM.V.19602603Cite this video as: Stensønes, Berit (2020). Sup-norm estimates for $ \overline{\partial}$ in $\mathbb{C}^{3}$. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19602603 URI : http://dx.doi.org/10.24350/CIRM.V.19602603 |
See Also
- [Post-edited] Unique ergodicity for foliations on compact Kähler surfaces / Author of the conference Sibony, Nessim.
- [Multi angle] Birational transformations preserving codimension one foliations / Author of the conference Pereira, Jorge Vitório.
- [Multi angle] Projective rational manifolds with non-finitely generated discrete automorphism group and infinitely many real forms / Author of the conference Oguiso, Keiji.
- [Multi angle] Symplectic Carleman approximation on co-adjoint orbits / Author of the conference Wold, Erlend Fornæss.
Bibliography
- GRUNDMEIER, Dusty, SIMON, Lars, et STENSØNES, Berit. Sup-norm Estimates for $\overline {\partial} $ in $\mathbb {C}^ 3$. arXiv preprint arXiv:1909.04080, 2019. - https://arxiv.org/abs/1909.04080
